At 67, Ferguson knows he cannot continue indefinitely, even though he is presently fit and healthy and has no intention of giving up a job he has held for almost 23 years.
United chief executive David Gill knows finding a suitable alternative will be the single most difficult task he will face given the success Ferguson has enjoyed with the Old Trafford outfit, and now Mourinho, currently manager of Italian champions Inter Milan, has issued a 'come and get me' plea.
"I would consider going to Manchester United but United have to consider if they want me to succeed Sir Alex Ferguson," he said. "If they do, then of course.
"I like England, where the fans are very passionate and make the game a beautiful occasion with such an incredible atmosphere."
The Portuguese coach's name has frequently been linked with replacing Ferguson since he left Chelsea and the 46-year-old certainly has the charisma required to take on one of football's most challenging jobs and is unlikely to be overwhelmed by the task of replacing the most successful British manager of all time.
And, while he insists he remains totally focused on trying to end Inter's 54-year European Cup drought, he admitted the lure of returning to England with the current Premier League champions would probably be irresistible.
"I have a project in hand and I am very excited," he continued. "When I went to Chelsea the big obsession was to win the Premier League after half a century.
"At Inter, winning the Italian League is very important but we have something else on our minds."
Ironically, Mourinho's statement comes just after John Terry committed his future to the Stamford Bridge outfit.
Had Mourinho still been with Chelsea, it is unlikely Terry would have needed assurances from Roman Abramovich about the future direction of the London outfit before he finally said no to Manchester City.
And, aside from backroom unrest, it has not escaped Mourinho's notice that since his controversial exit two years ago, Chelsea are now onto their fourth manager and have failed to recapture the title, while he – having guided Chelsea to back-to-back championships – has now won Serie A as well with Inter.
"I had many conversations before Chelsea and I decided on a divorce," he said. "It was difficult for me because we loved each other but the relationship went in one direction and it was best for everyone.
"Since I left I became champion again but they have not been champions again. I keep on winning and they don't."